The logarithmic tail of Neel walls

We study the multiscale problem of a parametrized planar 180° rotation of magnetization states in a thin ferromagnetic film. In an appropriate scaling and when the film thickness is comparable to the Bloch line width, the underlying variational principle has the form Q ∥ m ∥Ḣ12 + ∥ u ∥L22 + 〈u|SQ|u〉...